F(x) = -4(x + 7)2 - 6
f

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).

Eric and shiloh each have a savings account. the ratio of eric’s account balance to shiloh’s account balance is 4: 3. together they have a total of $140 in their accounts. use the tape diagram below to you determine the balance of eric’s account.

Betty correctly answers 30 questions on your math test there are 40 questions on the test what percent of the questions did she answered incorrectly